Thank you for the suggestion. In addition to that change, I also used the Taylor series ## \sin ^2 \theta = \theta^2 + \frac{1}{3}\theta^4 + ... ## and it worked out.
Homework Statement
This is Problem 2 from Chapter 1, Section V of A. Zee's Einstein Gravity in a Nutshell. Zee asks us to imagine a colony of "eskimo mites" that live at the north pole. The geometers of the colony have measured the following metric of their world to second order (with the...